Search a number
-
+
26121360 = 2435127857
BaseRepresentation
bin110001110100…
…1010010010000
31211011002202210
41203221102100
523141340420
62331512120
7435012366
oct143512220
954132683
1026121360
1113821401
1288b8640
135547735
14367d636
15245e9e0
hex18e9490

26121360 has 80 divisors (see below), whose sum is σ = 81709056. Its totient is φ = 6902784.

The previous prime is 26121349. The next prime is 26121383. The reversal of 26121360 is 6312162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30052 + ... + 30908.

Almost surely, 226121360 is an apocalyptic number.

26121360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854528).

26121360 is an abundant number, since it is smaller than the sum of its proper divisors (55587696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26121360 is a wasteful number, since it uses less digits than its factorization.

26121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 26121360 is about 5110.9059862220. The cubic root of 26121360 is about 296.7098255323.

The spelling of 26121360 in words is "twenty-six million, one hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 857 1016 1270 1524 1714 1905 2032 2540 2571 3048 3428 3810 4285 5080 5142 6096 6856 7620 8570 10160 10284 12855 13712 15240 17140 20568 25710 30480 34280 41136 51420 68560 102840 108839 205680 217678 326517 435356 544195 653034 870712 1088390 1306068 1632585 1741424 2176780 2612136 3265170 4353560 5224272 6530340 8707120 13060680 26121360